

@book {CCD,
    AUTHOR = {Beck, Matthias and Robins, Sinai},
     TITLE = {Computing the continuous discretely},
    SERIES = {Undergraduate Texts in Mathematics},
   EDITION = {Second},
      NOTE = {Integer-point enumeration in polyhedra,
              With illustrations by David Austin},
 PUBLISHER = {Springer, New York},
      YEAR = {2015},
     PAGES = {xx+285},
      ISBN = {978-1-4939-2968-9; 978-1-4939-2969-6},
       DOI = {10.1007/978-1-4939-2969-6}
}

 


@manual{sagemath,
  Key          = {SageMath},
  Author       = {{The Sage Developers}},
  Title        = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 9.3)},
  note         = {{\tt https://www.sagemath.org}},
  Year         = {2025},
}

@incollection{liu2019positivity,
  title={On positivity of Ehrhart polynomials},
  author={Liu, Fu},
  booktitle={Recent trends in algebraic combinatorics},
  pages={189--237},
  year={2019},
  publisher={Springer}
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@misc{shareshian2003newapproachorderpolynomials,
      title={A New Approach to Order Polynomials of Labeled Posets and Their Generalizations}, 
      author={John Shareshian and David Wright and Wenhua Zhao},
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      eprint={math/0311426},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/math/0311426}, 
}


@article{ikeda2009excited,
  title={Excited Young diagrams and equivariant Schubert calculus},
  author={Ikeda, Takeshi and Naruse, Hiroshi},
  journal={Transactions of the American Mathematical Society},
  volume={361},
  number={10},
  pages={5193--5221},
  year={2009}
}

@article{chan2024correlation,
  title={Correlation inequalities for linear extensions},
  author={Chan, Swee Hong and Pak, Igor},
  journal={Advances in Mathematics},
  volume={458},
  pages={109954},
  year={2024},
  publisher={Elsevier}
}

@article{bergeron2022combinatorics,
  title={Combinatorics of triangular partitions},
  author={Bergeron, Fran{\c{c}}ois and Mazin, Mikhail},
  journal={arXiv preprint arXiv:2203.15942},
  year={2022}
}

@article{bergeron2004some,
  title={Some positive differences of products of Schur functions},
  author={Bergeron, Fran{\c{c}}ois and McNamara, Peter},
  journal={arXiv preprint math/0412289},
  year={2004}
}



@misc{oeis,
	author = {OEIS Foundation Inc.},
	label = {OEIS},
	note = {URL:http://oeis.org},
    URL = {http://oeis.org},
    EPRINT = {http://oeis.org},
	title = {{The On-Line Encyclopedia of Integer Sequences}}
	}


@Misc{Sage-Combinat,
      Author = {The {S}age-{C}ombinat community},
      label = {S-C},
      Title = {{S}age-{C}ombinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics},
      url= {http://combinat.sagemath.org}}

@manual{sagemath,
	author = {Sage Developers, The},
	key = {SageMath},
	url = {https://www.sagemath.org},
	title = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 10.1)},
	label = {Sage}
	}





@book {HagqtCat,
    AUTHOR = {Haglund, James},
     TITLE = {The {$q$},{$t$}-{C}atalan numbers and the space of diagonal
              harmonics},
    SERIES = {University Lecture Series},
    VOLUME = {41},
      NOTE = {With an appendix on the combinatorics of Macdonald
              polynomials},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2008},
     PAGES = {viii+167},
      ISBN = {978-0-8218-4411-3; 0-8218-4411-3},
       DOI = {10.1007/s10711-008-9270-0}
}


@article {KMY,
    AUTHOR = {Knutson, Allen and Miller, Ezra and Yong, Alexander},
     TITLE = {Gr\"{o}bner geometry of vertex decompositions and of flagged
              tableaux},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {630},
      YEAR = {2009},
     PAGES = {1--31},
      ISSN = {0075-4102,1435-5345},
   MRCLASS = {13C40 (05E05 13F55 14M12)},
  MRNUMBER = {2526784},
MRREVIEWER = {Harry\ Tamvakis},
       DOI = {10.1515/CRELLE.2009.033},
       URL = {https://doi.org/10.1515/CRELLE.2009.033},
}

@article {IN,
    AUTHOR = {Ikeda, Takeshi and Naruse, Hiroshi},
     TITLE = {Excited {Y}oung diagrams and equivariant {S}chubert calculus},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {361},
      YEAR = {2009},
    NUMBER = {10},
     PAGES = {5193--5221},
      ISSN = {0002-9947,1088-6850},
   MRCLASS = {05E15 (14M15 14N15)},
  MRNUMBER = {2515809},
MRREVIEWER = {David\ E.\ Anderson},
       DOI = {10.1090/S0002-9947-09-04879-X},
       URL = {https://doi.org/10.1090/S0002-9947-09-04879-X},
}


@article {CYY,
    AUTHOR = {Chen, William Y. C. and Yan, Guo-Guang. and Yang, Arthur L. B.},
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              determinants},
   JOURNAL = {J. Algebraic Combin.},
    VOLUME = {21},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {379--394}
}

@article {HG,
    AUTHOR = {Hillman, Abraham P. and Grassl, Richard M.},
     TITLE = {Reverse plane partitions and tableau hook numbers},
   JOURNAL = {J. Combinatorial Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {21},
      YEAR = {1976},
    NUMBER = {2},
     PAGES = {216--221},
      ISSN = {0097-3165},
   MRCLASS = {05A17},
  MRNUMBER = {414387},
MRREVIEWER = {Richard Stanley},
       DOI = {10.1016/0097-3165(76)90065-0},
       URL = {https://doi.org/10.1016/0097-3165(76)90065-0},
}

@article {MR4349569,
    AUTHOR = {Chan, Swee Hong and Pak, Igor and Panova, Greta},
     TITLE = {Sorting probability for large {Y}oung diagrams},
   JOURNAL = {Discrete Anal.},
  FJOURNAL = {Discrete Analysis},
      YEAR = {2021},
     PAGES = {Paper No. 24, 57},
   MRCLASS = {05E10 (05E16 06A07 60C05)},
  MRNUMBER = {4349569},
       DOI = {10.19086/da},
       URL = {https://doi.org/10.19086/da},
}

@Article{FRT,
  author= {Frame, James S. and Robinson, Gilbert de B. and Thrall, Robert M.},
  year         = {1954},
  journal = {Can. J. Math.},
  title        = {The hook graphs of the symmetric group},
  doi          = {10.4153/cjm-1954-030-1},
  number       = {0},
  pages        = {316--324},
  volume       = {6},
}


@article {LP,
    AUTHOR = {Lascoux, Alain and Pragacz, Piotr},
     TITLE = {Ribbon {S}chur functions},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {9},
      YEAR = {1988},
    NUMBER = {6},
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      ISSN = {0195-6698},
   MRCLASS = {05A19 (05A15)},
  MRNUMBER = {970392},
MRREVIEWER = {John R. Stembridge},
       DOI = {10.1016/S0195-6698(88)80053-2},
       URL = {https://doi.org/10.1016/S0195-6698(88)80053-2},
}


@misc{Kre1,
      title={{S}chubert {C}lasses in the {E}quivariant {K}-{T}heory and {E}quivariant {C}ohomology of the {G}rassmannian}, 
      author={Victor Kreiman},
      year={2006},
      eprint={math/0512204},
      archivePrefix={arXiv},
      primaryClass={math.AG}
}



@article {MZ,
    AUTHOR = {Morales, Alejandro H. and Zhu, Daniel},
     TITLE = {On the {O}kounkov-{O}lshanski formula for standard tableaux of
              skew shapes},
   JOURNAL = {S\'{e}m. Lothar. Combin.},
  FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
    VOLUME = {84B},
      YEAR = {2020},
     PAGES = {Art. 93, 12},
   MRCLASS = {05A17 (05A15)},
  MRNUMBER = {4138720},
}

@article {MPP1,
    AUTHOR = {Morales, Alejandro H. and Pak, Igor and Panova, Greta},
     TITLE = {Hook formulas for skew shapes {I}. {$q$}-analogues and
              bijections},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {154},
      YEAR = {2018},
     PAGES = {350--405},
   MRCLASS = {05A19 (05A05 05A17 05E05)},
  MRNUMBER = {3718070},
MRREVIEWER = {Sergi Elizalde}
}



@book {EC1,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
   EDITION = {2},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2012},
     PAGES = {xiv+626}
}



@book {EC2,
    AUTHOR = {Stanley, Richard P.},
    TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
PUBLISHER = {Cambridge University Press, Cambridge},
     YEAR = {1999},
    PAGES = {xii+581},
}



		


@article {MPP2,
    AUTHOR = {Morales, Alejandro H. and Pak, Igor and Panova, Greta},
     TITLE = {Hook formulas for skew shapes {II}. {C}ombinatorial proofs and
              enumerative applications},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {31},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {1953--1989},
      ISSN = {0895-4801},
   MRCLASS = {05A19 (05A05 05A15 05E05)},
MRREVIEWER = {Sergi Elizalde},
       DOI = {10.1137/16M1099625},
       URL = {https://doi.org/10.1137/16M1099625},
}


@Article{MPP3,
  author       = {Alejandro H. Morales and Igor Pak and Greta Panova},
  year         = {2019},
  journal = {Algebr. Comb.},
  title        = {Hook formulas for skew shapes {III}. {M}ultivariate and product formulas},
  doi          = {10.5802/alco.67},
  eprint       = {1707.00931},
  eprinttype   = {arXiv},
  number       = {5},
  pages        = {815--861},
  volume       = {2},
}

@article{NO,
     author = {Naruse, Hiroshi and Okada, Soichi},
     title = {Skew hook formula for $d$-complete posets via equivariant $K$-theory},
     journal = {Algebraic Combinatorics},
     publisher = {MathOA foundation},
     volume = {2},
     number = {4},
     year = {2019},
     pages = {541-571},
     doi = {10.5802/alco.54},
     language = {en},
     url = {https://alco.centre-mersenne.org/item/ALCO_2019__2_4_541_0}
}
  


@article{zbMATH07220122,
 author = {Ayyer, Arvind and Josuat-Verg{\`e}s, Matthieu and Ramassamy, Sanjay},
 title = {Extensions of partial cyclic orders and consecutive coordinate polytopes},
 fjournal = {Annales Henri Lebesgue},
 journal = {Ann. Henri Lebesgue},
 issn = {2644-9463},
 volume = {3},
 pages = {275--297},
 year = {2020},
 language = {English},
 doi = {10.5802/ahl.33},
 keywords = {05A05,05A10,06A75,52B11,52B20,11B68},
 zbMATH = {7220122},
 Zbl = {1443.05004}
}

@article{zbMATH07940519,
 author = {Chan, Swee Hong and Pak, Igor},
 title = {Correlation inequalities for linear extensions},
 fjournal = {Advances in Mathematics},
 journal = {Adv. Math.},
 issn = {0001-8708},
 volume = {458},
 pages = {33},
 note = {Id/No 109954},
 year = {2024},
 language = {English},
 doi = {10.1016/j.aim.2024.109954},
 keywords = {05A20,05E10,05A15,11B68,06A07,60C05},
 zbMATH = {7940519},
 Zbl = {1551.05027}
}

@incollection{StanleySurveyAltPerms,
 author = {Stanley, Richard P.},
 title = {A survey of alternating permutations},
 booktitle = {Combinatorics and graphs. Selected papers based on the presentations at the 20th anniversary conference of IPM on combinatorics, Tehran, Iran, May 15--21, 2009. Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday},
 isbn = {978-0-8218-4865-4},
 pages = {165--196},
 year = {2010},
 publisher = {Providence, RI: American Mathematical Society (AMS)},
 language = {English},
 keywords = {05-02,05A05,05E10,05E05},
 zbMATH = {5901923},
 Zbl = {1231.05288}
}

@misc{brunner2024triangulationflowpolytopezigzag,
      title={A Triangulation of the Flow Polytope of the Zigzag Graph}, 
      author={Rachel Brunner and Christopher R. H. Hanusa},
      year={2024},
      eprint={2406.20048},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2406.20048}, 
}

@article {morier-genoud-ovsienko,
    AUTHOR = {Morier-Genoud, Sophie and Ovsienko, Valentin},
     TITLE = {{$q$}-deformed rationals and {$q$}-continued fractions},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {8},
      YEAR = {2020},
     PAGES = {Paper No. e13, 55},
      ISSN = {2050-5094},
   MRCLASS = {11A55 (05A30 11B57 13F60 57K14)},
  MRNUMBER = {4073883},
MRREVIEWER = {Thomas\ Garrity},
       DOI = {10.1017/fms.2020.9},
       URL = {https://doi.org/10.1017/fms.2020.9},
}


@article {MPP4,
    AUTHOR = {Morales, Alejandro H. and Pak, Igor and Panova, Greta},
     TITLE = {Hook formulas for skew shapes {IV}. {I}ncreasing tableaux and
              factorial {G}rothendieck polynomials},
   JOURNAL = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
              (POMI)},
  FJOURNAL = {Rossi\u{\i}skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie.
              Matematicheski\u{\i} Institut im. V. A. Steklova. Zapiski Nauchnykh
              Seminarov (POMI)},
    VOLUME = {507},
      YEAR = {2021},
    NUMBER = {Teoriya Predstavleni\u{\i}, Dinamicheski Sistemy, Kombinatornye
              Methody. XXXIII},
     PAGES = {59--98},
      ISSN = {0373-2703},
   MRCLASS = {05E05},
  MRNUMBER = {4355382},
}


@article {park2021naruse,
    AUTHOR = {Park, GaYee},
     TITLE = {Naruse hook formula for linear extensions of mobile posets},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {29},
      YEAR = {2022},
    NUMBER = {3},
     PAGES = {Paper No. 3.57, 26},
      ISSN = {1077-8926},
       DOI = {10.37236/10444},
       URL = {https://doi.org/10.37236/10444},
}


@Article{OO,
  author       = {Andrei Okounkov and Grigori Olshanski},
  year         = {1998},
  journal = {St. Petersburg Math. J.},
  title        = {Shifted {S}chur Functions},
  number       = {2},
  pages        = {239--300},
  volume       = {9},
}

@Unpublished{naruse2014,
  author       = {Hiroshi Naruse},
  year         = {2014},
  title        = {Schubert calculus and hook formula},
  howpublished = {Slides at 73rd S\'{e}minaire Lotharingien de Combinatoire, Strobl}
}


@Article{konvalinka1,
  author       = {Matja{\v{z}} Konvalinka},
  year         = {2020},
  journal = {European J. Combin.},
  title        = {A bijective proof of the hook-length formula for skew shapes},
  doi          = {10.1016/j.ejc.2020.103104},
  eid          = {103104},
 volume={88}
}

@Article{konvanlinka2,
  author       = {Matja{\v{z}} Konvalinka},
  year         = {2020},
  journal = {European J. Combin.},
  title        = {Hook, line and sinker: {A} bijective proof of the skew shifted hook-length formula},
  doi          = {10.1016/j.ejc.2019.103079},
  eid          = {103079},
  volume       = {86},
}


@article{jiradilok2019roots,
    AUTHOR = {Jiradilok, Pakawut and McConville, Thomas},
     TITLE = {Roots of descent polynomials and an algebraic inequality on
              hook lengths},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {30},
      YEAR = {2023},
    NUMBER = {4},
     PAGES = {Paper No. 4.41, 32},
      ISSN = {1077-8926},
       DOI = {10.37236/10753},
       URL = {https://doi.org/10.37236/10753},
} 




@incollection {Ram,
    AUTHOR = {Ram, Arun},
     TITLE = {Skew shape representations are irreducible},
 BOOKTITLE = {Combinatorial and geometric representation theory ({S}eoul,
              2001)},
    SERIES = {Contemp. Math.},
    VOLUME = {325},
     PAGES = {161--189},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2003},
   MRCLASS = {20C08 (05E15)},
  MRNUMBER = {1988991},
MRREVIEWER = {Jian-yi Shi},
       DOI = {10.1090/conm/325/05670},
       URL = {https://doi.org/10.1090/conm/325/05670},
}

@article{GPT,
    AUTHOR = {Garver, Alexander and Patrias, Rebecca and Thomas, Hugh},
     TITLE = {Minuscule reverse plane partitions via quiver representations},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {29},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {Paper No. 37, 48},
      ISSN = {1022-1824,1420-9020},
       DOI = {10.1007/s00029-023-00831-4},
       URL = {https://doi.org/10.1007/s00029-023-00831-4},
}


@article {G,
    AUTHOR = {Gansner, Emden R.},
     TITLE = {The {H}illman-{G}rassl correspondence and the enumeration of
              reverse plane partitions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {30},
      YEAR = {1981},
    NUMBER = {1},
     PAGES = {71--89},
      ISSN = {0097-3165},
   MRCLASS = {05A17 (05A15)},
  MRNUMBER = {607040},
MRREVIEWER = {Marshall L. Cates},
       DOI = {10.1016/0097-3165(81)90041-8},
       URL = {https://doi.org/10.1016/0097-3165(81)90041-8},
}

@article{KimYoo,
author = {Kim, Jang Soo and Yoo, Meesue},
title = {Generalized {S}chur Function Determinants Using the {B}azin Identity},
journal = {SIAM Journal on Discrete Mathematics},
volume = {35},
number = {3},
pages = {1650-1672},
year = {2021},
doi = {10.1137/20M138819X},
URL = { 
        https://doi.org/10.1137/20M138819X},
eprint = { https://doi.org/10.1137/20M138819X}
}

@article {P,
author = {Pak, Igor},
title = {Skew Shape Asymptotics, a Case-Based Introduction},
journal = {S\'eminaire Lotharingien de Combinatoire},
year = {2021},
volume = {84},
number = {B84a},
 DOI = {10.1007/s00184-019-00760-3},
       URL = {https://doi.org/10.1007/s00184-019-00760-3},
}

@article{MPPassympt,
title = {Asymptotics of the number of standard Young tableaux of skew shape},
journal = {European Journal of Combinatorics},
volume = {70},
pages = {26-49},
year = {2018},
issn = {0195-6698},
author = {Alejandro H. Morales and Igor Pak and Greta Panova}
}

@misc{PC,
author = {Cassels, Peter},
title = {Hook length formulas for skew Young tableaux},
note = {REU report Mathematics and Statistis Department, UMass Amherst},
year = {2020}
}

@article{greene1984another,
  title={Another probabilistic method in the theory of Young tableaux},
  author={Greene, Curtis and Nijenhuis, Albert and Wilf, Herbert S},
  journal={Journal of Combinatorial Theory, Series A},
  volume={37},
  number={2},
  pages={127--135},
  year={1984},
  publisher={Academic Press}
}

@article{stanley2009survey,
  title={A survey of alternating permutations},
  author={Stanley, Richard P},
  journal={arXiv preprint arXiv:0912.4240},
  year={2009}
}

@article{petersen-zhuang,
  title={Zig-zag Eulerian polynomials},
  author={Petersen, T Kyle and Zhuang, Yan},
  journal={European Journal of Combinatorics},
  volume={124},
  pages={104073},
  year={2025},
  publisher={Elsevier}
}



@misc{pak2025hilbertkunzmultiplicityquadricsehrhart,
      title={Hilbert-Kunz multiplicity of quadrics via Ehrhart theory}, 
      author={Igor Pak and Boris Shapiro and Ilya Smirnov and Ken-ichi Yoshida},
      year={2025},
      eprint={2508.17915},
      archivePrefix={arXiv},
      primaryClass={math.AC},
      url={https://arxiv.org/abs/2508.17915}, 
}

@article{stanley2011enumerative,
  title={Enumerative combinatorics volume 1 second edition},
  author={Stanley, Richard P},
  journal={Cambridge studies in advanced mathematics},
  year={2011}
}


@article{ferroni2025skew,
  title={Skew shapes, Ehrhart positivity and beyond},
  author={Ferroni, Luis and Morales, Alejandro H and Panova, Greta},
  journal={arXiv preprint arXiv:2503.16403},
  year={2025}
}

@article{monsky1983hilbert,
  title={The Hilbert-Kunz function},
  author={Monsky, Paul},
  journal={Mathematische Annalen},
  volume={263},
  number={1},
  pages={43--49},
  year={1983},
  publisher={Springer}
}

@article{watanabe2005hilbert,
  title={Hilbert-Kunz multiplicity of three-dimensional local rings},
  author={Watanabe, Kei-ichi and Yoshida, Ken-ichi},
  journal={Nagoya Mathematical Journal},
  volume={177},
  pages={47--75},
  year={2005},
  publisher={Cambridge University Press}
}

@article{kreweras1965classe,
  title={Sur une classe de problemes de d{\'e}nombrement li{\'e}s au treillis des partitions des entiers},
  author={Kreweras, Germain},
  journal={Cahiers du Bureau universitaire de recherche op{\'e}rationnelle S{\'e}rie Recherche},
  volume={6},
  pages={9--107},
  year={1965}
}


@article{stanley1986two,
  title={Two poset polytopes},
  author={Stanley, Richard P},
  journal={Discrete \& Computational Geometry},
  volume={1},
  number={1},
  pages={9--23},
  year={1986},
  publisher={Springer}
}

@misc{meng2025analysishilbertkunztheory,
      title={Analysis in Hilbert-Kunz theory}, 
      author={Cheng Meng},
      year={2025},
      eprint={2507.13898},
      archivePrefix={arXiv},
      primaryClass={math.AC},
      url={https://arxiv.org/abs/2507.13898}, 
}

@article{kahane-mishna,
    author = {Kahane, Yakob and Mishna, Marni} ,
    title = {Differential transcendence and walks on self-similar graphs},
    journal = {Séminaire Lotharingien de Combinatoire},
    year = {2025} ,
}

@inproceedings{cerf2024hot,
  title={Hot off the Press: The First Proven Performance Guarantees for the Non-Dominated Sorting Genetic Algorithm II (NSGA-II) on a Combinatorial Optimization Problem},
  author={Cerf, Sacha and Doerr, Benjamin and Hebras, Benjamin and Kahane, Yakob and Wietheger, Simon},
  booktitle={Proceedings of the Genetic and Evolutionary Computation Conference Companion},
  pages={27--28},
  year={2024}
}

@misc{coons2020hpolynomialorderpolytopezigzag,
      title={The $h^*$-polynomial of the order polytope of the zig-zag poset}, 
      author={Jane Ivy Coons and Seth Sullivant},
      year={2020},
      eprint={1901.07443},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/1901.07443}, 
}

@article{brigthwellwrinckler, 
title = {Counting linear extensions}, 
author = {G. Brightwell and P. Winkler}, 
year = {1991}, 
journal = {extended
abstract in Proc. 23rd STOC}, 
page = {175–181}   
}


@article{Ayyer_2020,
   title={Extensions of partial cyclic orders and consecutive coordinate polytopes},
   volume={3},
   ISSN={2644-9463},
   url={http://dx.doi.org/10.5802/ahl.33},
   DOI={10.5802/ahl.33},
   journal={Annales Henri Lebesgue},
   publisher={Cellule MathDoc/Centre Mersenne},
   author={Ayyer, Arvind and Josuat-Vergès, Matthieu and Ramassamy, Sanjay},
   year={2020},
   month=jun, pages={275–297} }



@article{kahane2025yoshida,
  title={A Proof of a conjecture of Watanabe--Yoshida via Ehrhart Theory},
  author={Kahane, Yakob},
  journal={arXiv preprint arXiv:2512.20442},
  year={2025}
}
@unpublished{kahane2025stat,
  author = {Yakob Kahane},
  title  = {Combinatorial interpretation of the coefficients of the order order polynomial of fence and skew shape posets},
  note   = {In preparation },
  year   = {2025}
}

@misc{lundström2025orderpolytopescrownposets,
      title={Order polytopes of crown posets}, 
      author={Teemu Lundström and Leonardo Saud Maia Leite},
      year={2025},
      eprint={2504.05123},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2504.05123}, 
}

@article{stanley1980decompositions,
  title={Decompositions of rational convex polytopes},
  author={Stanley, Richard P},
  journal={Ann. Discrete Math},
  volume={6},
  number={6},
  pages={333--342},
  year={1980}
}